I’ve written several times about the “squircle,” a sort of compromise between a square and a circle. It looks something…

Continue Reading# curvature

## Kissing circle

Curvature is a measure of how tightly a curve bends. A circle of radius r has curvature 1/r. So a…

Continue Reading## Self-curvature

If you look at a sine wave, its curvature is sorta like its values. When sine is zero, the curve…

Continue Reading## Curvature of an ellipsoid

For an ellipsoid with equation the Gaussian curvature at each point is given by Now suppose a ≥ b ≥…

Continue Reading## Total curvature of a knot

Tie a knot in a rope and join the ends together. At each point in the rope, compute the curvature,…

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